摘要
研究了不连续不可逆映射形成加周期现象的机制,并确定了由绕数形成的锁相魔梯锁相台阶的两个端点.加周期的形成是由于周期轨道与禁区的上下边界发生边界碰撞分岔,使得轨道迭代到另一特殊位置但同时又保留了原有位置的迭代.进一步研究表明:锁相魔梯台阶两个端点分别对应周期轨道与禁区两个边界的碰撞时的参数值,最后给出了锁相魔梯台阶的端点表达式.
The mechanism of period-adding is found in a piecewise linear map with a gap. Both end points of each phase-locking plateau in the staircase are discussed. Our results show that the reason of period--adding phenomenon is the border collision bifurcation at two boundaries of the forbidden area with critical parameters, meanwhile the orbits can iterate to another region and still retains the original region, and then it forms the period-adding sequences. Finally the analytical expressions of the both end points of each phase-locking plateau in the staircase are given.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期29-32,共4页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10875067)
陕西省自然科学基金资助项目(SJ08A23)
关键词
不连续性
锁相
加周期
discontinuity
phase-locking
period-adding
